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132,370

132,370 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

132,370 (one hundred thirty-two thousand three hundred seventy) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 7 × 31 × 61. Its proper divisors sum to 153,326, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20512.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
73,231
Recamán's sequence
a(227,632) = 132,370
Square (n²)
17,521,816,900
Cube (n³)
2,319,362,903,053,000
Divisor count
32
σ(n) — sum of divisors
285,696
φ(n) — Euler's totient
43,200
Sum of prime factors
106

Primality

Prime factorization: 2 × 5 × 7 × 31 × 61

Nearest primes: 132,367 (−3) · 132,371 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 5 · 7 · 10 · 14 · 31 · 35 · 61 · 62 · 70 · 122 · 155 · 217 · 305 · 310 · 427 · 434 · 610 · 854 · 1085 · 1891 · 2135 · 2170 · 3782 · 4270 · 9455 · 13237 · 18910 · 26474 · 66185 (half) · 132370
Aliquot sum (sum of proper divisors): 153,326
Factor pairs (a × b = 132,370)
1 × 132370
2 × 66185
5 × 26474
7 × 18910
10 × 13237
14 × 9455
31 × 4270
35 × 3782
61 × 2170
62 × 2135
70 × 1891
122 × 1085
155 × 854
217 × 610
305 × 434
310 × 427
First multiples
132,370 · 264,740 (double) · 397,110 · 529,480 · 661,850 · 794,220 · 926,590 · 1,058,960 · 1,191,330 · 1,323,700

Sums & aliquot sequence

As consecutive integers: 33,091 + 33,092 + 33,093 + 33,094 26,472 + 26,473 + 26,474 + 26,475 + 26,476 18,907 + 18,908 + … + 18,913 6,609 + 6,610 + … + 6,628
Aliquot sequence: 132,370 153,326 84,178 42,092 36,028 27,028 22,112 21,484 17,324 13,924 10,863 5,985 6,495 3,921 1,311 609 351 — unresolved within range

Continued fraction of √n

√132,370 = [363; (1, 4, 1, 3, 2, 8, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 2, 18, 3, 1, 1, 1, 1, 18, …)]

Representations

In words
one hundred thirty-two thousand three hundred seventy
Ordinal
132370th
Binary
100000010100010010
Octal
402422
Hexadecimal
0x20512
Base64
AgUS
One's complement
4,294,834,925 (32-bit)
Scientific notation
1.3237 × 10⁵
As a duration
132,370 s = 1 day, 12 hours, 46 minutes, 10 seconds
In other bases
ternary (3) 20201120121
quaternary (4) 200110102
quinary (5) 13213440
senary (6) 2500454
septenary (7) 1060630
nonary (9) 221517
undecimal (11) 904a7
duodecimal (12) 6472a
tridecimal (13) 48334
tetradecimal (14) 36350
pentadecimal (15) 2934a

As an angle

132,370° = 367 × 360° + 250°
250° ≈ 4.363 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλβτοʹ
Mayan (base 20)
𝋰·𝋪·𝋲·𝋪
Chinese
一十三萬二千三百七十
Chinese (financial)
壹拾參萬貳仟參佰柒拾
In other modern scripts
Eastern Arabic ١٣٢٣٧٠ Devanagari १३२३७० Bengali ১৩২৩৭০ Tamil ௧௩௨௩௭௦ Thai ๑๓๒๓๗๐ Tibetan ༡༣༢༣༧༠ Khmer ១៣២៣៧០ Lao ໑໓໒໓໗໐ Burmese ၁၃၂၃၇၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132370, here are decompositions:

  • 3 + 132367 = 132370
  • 23 + 132347 = 132370
  • 41 + 132329 = 132370
  • 71 + 132299 = 132370
  • 83 + 132287 = 132370
  • 107 + 132263 = 132370
  • 113 + 132257 = 132370
  • 137 + 132233 = 132370

Showing the first eight; more decompositions exist.

Unicode codepoint
𠔒
CJK Unified Ideograph-20512
U+20512
Other letter (Lo)

UTF-8 encoding: F0 A0 94 92 (4 bytes).

Hex color
#020512
RGB(2, 5, 18)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.5.18.

Address
0.2.5.18
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.5.18

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 132,370 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 132370 first appears in π at position 293,985 of the decimal expansion (the 293,985ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading